Similarity solutions for a multi-dimensional replicator dynamics equation

被引：7
|
作者：
Papanicolaou, Vassilis G. [1 ]
Smyrlis, George [2 ]
机构：
[1] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece
[2] Inst Educ Technol, Dept Math, Athens 12210, Greece
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 7-8期
关键词：
Replicator dynamics problem; Self-similar solutions; Nonlinear degenerate parabolic PDE with a nonlocal term; Laplacian;
D O I：
10.1016/j.na.2009.01.227
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct a one-parameter family of self-similar solutions for a nonlinear degenerate multi-dimensional parabolic equation containing a nonlocal term. All these solutions are strictly positive and their integral over the whole space is 1. The equation serves as a replicator dynamics model where the set of strategies is a continuum. (C) 2009 Elsevier Ltd. All rights reserved.
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页码：3185 / 3196
页数：12
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